PROBLEM LINK
Author: Mann MehtaTester: Vatsal Parmar
Editorialist: Jaymeet Mehta
DIFFICULTY
Cakewalk
PREREQUISITES:
Basic Math
PROBLEM
You are give two integer S and D denoting source and destination of Zeno's journey, his vehicle travel every half of the remaining distance and take rest for 2 Minutes. Your task is to find time taken to reach the destination if possible.
QUICK EXPLANATION
The only main point was to find out that he will never be able to reach his destination.
EXPLANATION
As it is given that his vehicle travels half of the distance and takes rest. Every time he always travels half of the distance. So even if he is left with a distance of 1 he will travel half i.e. 0.5 , then again half i.e. 0.25. So it will never be exactly 0, i.e. equal to D. so unless the distance given between source and destination is 0, he will never reach his destination.
This question is based Zeno's Dichotomy Paradox
TIME COMPLEXITY
Time Complexity is O(1) per test case.SOLUTIONS
Author’s Solution
Tester’s Solution
Editorialist’s Solution